Fig. 4: Distribution functions and multifractal analysis.
From: Anderson transition symmetries at the band-edge of a correlated Sn/Si monolayer
a Solid lines denote the dI/dV distribution functions (or histogram) \(P(\tilde{\eta })\) of differential conductance values \(\tilde{\eta }(E)\) at energy E = {−0.9, −0.8, −0.7, −0.6, −0.57, −0.54, −0.5, −0.48} eV. Black dashed lines correspond to \({\tilde{\eta }}^{-3}P(1/\tilde{\eta })\). We recall that the mobility edge is at −0.65 eV. b Solid lines denote the multifractal spectra f(α) of dI/dV maps at energy E = {−0.9, − 0.8, − 0.7, − 0.6, − 0.57, − 0.54, − 0.5, − 0.48} eV. Red dashed lines account for f(4 − α) − 2 + α. Multifractal spectra f(α) are fitted with the weak-multifractality solution Eq. (5) (black dash-dotted lines). α0 is given in Supplementary Note 1 and Supplementary Fig. 2 along with a polynomial interpolation in Supplementary Table 1.
